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शब्द 'SCIENTIST' के अक्षरों को कितने विभिन्न तरीके से व्यवस्थित कर सकते हैं कि सभी स्वर एक साथ रहे?
(1) 1890
(2) 9670
(3) 11340
(4) 3780
(5) None of these/इनमें से कोई नहीं
Sol. (4) - Req. ways/अभीष्ट प्रकार =
= 3780 Q. 2- If numerator and denominator of a fraction are increased by 400% and 300% respectively, the resultant fraction is 15/32. If numerator of original fraction is increased by 200% and denominator is increased by 250% what will be resultant fraction?
एक भिन्न का अंश 400% और हर 300% बढ़ाने पर नयी भिन्न 15/32 है। मूल भिन्न का अंश 200% और हर 250% बढ़ाने पर परिणामी भिन्न क्या होगी?|
(1)
(2)
(3)
(4)
(5) None of these/इनमें से कोई नहीं
Sol. – (1)
Required fraction/अभीष्ट भिन्न =
Q. 3- Anuj has Rs.37200 in the form of Rs.100, Rs.500 and Rs.1000 notes. The ratio of the number of these notes is 7: 5: 3. What is the amount of Rs.500 notes?
अनुज के पास 100 रू . , 500 रू . 1000 रू . के नोट 7 : 5 : 3 के अनुपात में है। उनका कुल मूल्य 37200 रू . है। 500 रू . के नोट की राशि कितनी है ?
(1) Rs. /रु. 5000
(2) Rs. /रु. 25000
(3) Rs. /रु. 15000
(4) Rs. /रु. 10000
(5) Rs. /रु. 15500
Sol. (3) – Ratio/अनुपात = 100 × 7: 500 × 5: 1000 × 3 = 700: 2500: 3000
= 7: 25: 30
Req. amount/अभीष्ट धनराशि =
= Rs. /रु.15000Q. 4- What value will come in place of question mark (?) in the number-series given below?
निम्नलिखित संख्या-श्रृंखला में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या मान आयेगा?
11 20 76 309 1380 ?
(1) 7062
(2) 7125
(3) 7280
(4) 7324
(5) None of these/इनमें से कोई नहीं
Sol. (2) - ×1 + 32, × 2 + 62, × 3 + 92, × 4 + 122, × 5 + 152
Q. 5- What value will come in place of question mark (?) in the number-series given below?
निम्नलिखित संख्या -श्रृंखला में प्रश्नवाचक चिन्ह ( ?) के स्थान पर क्या मान आयेगा?
1229 500 ? 32 5 4
(1) 157
(2) 159
(3) 160
(4) 162
(5) None of these/इनमें से कोई नहीं
Sol. (1)- - 93, - 73, - 53, - 33, - 13
Q. 6- What value will come in place of question mark (?) in the number-series given below?
निम्नलिखित संख्या-श्रृंखला में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या मान आयेगा?
10 18 ? 196 909
(1) 62
(2) 48
(3) 46
(4) 63
(5) None of these/इनमें से कोई नहीं
Sol. (5) - × 1 + 23, × 2 + 33, × 3 + 43, × 4 + 53
Q. 7- In each of the following questions, two equations are given. You have to solve them and answer
निम्नलिखित प्रश्नों में दो समीकरण (I) और (II) दिये गये है दोनों समीकरण हल कीजिए और-
I. x4 - 227 = 398 II. y2 + 321 = 346
(1) If/यदि x > y
(2) If/यदि x > y
(3) If/यदि x < y
(4) If/यदि x < y
(5) If/यदि x = y or relationship cannot be established/या सम्बन्ध स्थापित नहीं किया जा सकता है |
Sol. (2) - I. x4 = 625
x = 5
II. y2 = 25
y = +5
x > y
Q. 8- In each of the following questions, two equations are given. You have to solve them and answer
निम्नलिखित प्रश्नों में दो समीकरण (I) और (II) दिये गये है दोनों समीकरण हल कीजिए और -
I. 2x2 + 11x + 14 = 0 II. 4y2 + 12y + 9 = 0
(1) If/यदि x > y
(2) If/यदि x > y
(3) If/यदि x < y
(4) If/यदि x < y
(5) If/यदि x = y or relationship cannot be established/या सम्बन्ध स्थापित नहीं किया जा सकता है
Sol. (3) - I. 2x2 + 4x + 7x + 14 = 0
2x (x + 2) + 7(x + 2) = 0
II. 4y2 + 6y + 6y + 9 = 0
2y (2y + 3) + 3 (2y + 3) = 0
x < y
Q. 9- What value will come in place of question mark (?) in the questions given below?
निम्नलिखित प्रश्नों में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या मान आयेगा?
882.28 + 28.82 + 0.28 + 2.82 + 8 = ?
(1) 912.68
(2) 922.2
(3) 911.79
(4) 910.99
(5) None of these/इनमें से कोई नहीं
Sol. (2) - ? = 922.2
Q. 10- What value will come in place of question mark (?) in the questions given below?
निम्नलिखित प्रश्नों में प्रश्नवाचक चिन्ह ( ?) के स्थान पर क्या मान आयेगा?
(1) 19
(2) 361
(3)
(4) 38
(5) None of these/इनमें से कोई नहीं
Sol. (1) - 484 = 112 + (?)2 + 11
484 = 123 + (?)2
(?)2 = 361 =(19)2
? = 19
Answers:
Q1. (4)
Q2. (1)
Q3. (3)
Q4. (2)
Q5. (1)
Q6. (5)
Q7. (2)
Q8. (3)
Q9. (2)
Q10. (1)
